MCQOPTIONS
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MCQOPTIONS
This section includes 508 Mcqs, each offering curated multiple-choice questions to sharpen your GATE (Mechanical Engineering) knowledge and support exam preparation. Choose a topic below to get started.
| 351. |
The centre of percussion is below the centre of gravity of the body and is at a distance equal to |
| A. | h/kG |
| B. | h2/kG |
| C. | kG2/h |
| D. | h × kG |
| Answer» D. h × kG | |
| 352. |
If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be |
| A. | Same |
| B. | Half |
| C. | Double |
| D. | None of these |
| Answer» B. Half | |
| 353. |
Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is |
| A. | bh3/4 |
| B. | bh3/8 |
| C. | bh3/12 |
| D. | bh3/36 |
| Answer» D. bh3/36 | |
| 354. |
The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.) |
| A. | ω/2π |
| B. | 2π/ω |
| C. | 2π × ω |
| D. | π/ω |
| Answer» C. 2π × ω | |
| 355. |
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base. |
| A. | Nine times |
| B. | Six times |
| C. | Four times |
| D. | Two times |
| Answer» B. Six times | |
| 356. |
Tangent of angle of friction is equal to |
| A. | Kinetic friction |
| B. | Limiting friction |
| C. | Angle of repose |
| D. | Coefficient of friction |
| Answer» E. | |
| 357. |
A single force and a couple acting in the same plane upon a rigid body |
| A. | Balance each other |
| B. | Cannot balance each other |
| C. | Produce moment of a couple |
| D. | Are equivalent |
| Answer» C. Produce moment of a couple | |
| 358. |
Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity ‘v’ is made to strike the second ball. Both the balls after impact will move with a velocity |
| A. | v |
| B. | v/2 |
| C. | v/4 |
| D. | v/8 |
| Answer» C. v/4 | |
| 359. |
Frictional force encountered after commencement of motion is called |
| A. | Limiting friction |
| B. | Kinematic friction |
| C. | Frictional resistance |
| D. | Dynamic friction |
| Answer» E. | |
| 360. |
In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load. |
| A. | Less than |
| B. | Equal to |
| C. | More than |
| D. | None of these |
| Answer» B. Equal to | |
| 361. |
In a framed structure, as shown in the below figure, the forces in the members AB and BC are respectively |
| A. | √3. W (tensile) and 2W (compressive) |
| B. | 2W (tensile) and √3. W (compressive) |
| C. | 2√3. W (tensile) and 2√3. W (compressive) |
| D. | None of the above |
| Answer» B. 2W (tensile) and √3. W (compressive) | |
| 362. |
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is |
| A. | mr²/2 |
| B. | mr²/4 |
| C. | mr²/6 |
| D. | mr²/8 |
| Answer» B. mr²/4 | |
| 363. |
A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following: |
| A. | Both the balls undergo an equal change in momentum |
| B. | The change in momentum suffered by rubber ball is more than the lead ball |
| C. | The change in momentum suffered by rubber ball is less than the lead ball |
| D. | None of the above |
| Answer» C. The change in momentum suffered by rubber ball is less than the lead ball | |
| 364. |
The coefficient of friction depends on |
| A. | Area of contact |
| B. | Shape of surfaces |
| C. | Strength of surfaces |
| D. | Nature of surface |
| Answer» E. | |
| 365. |
A block of mass m₁, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m₂, which moves vertically downwards as shown in the below figure. The tension in the string is |
| A. | m₁/m₂ |
| B. | m₁. g. sin α |
| C. | m₁.m₂/m₁ + m₂ |
| D. | m₁. m₂.g (1 + sin α)/(m₁ + m₂) |
| Answer» E. | |
| 366. |
The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 367. |
In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is |
| A. | 50 |
| B. | 100 |
| C. | 200 |
| D. | 400 |
| Answer» C. 200 | |
| 368. |
The time of flight of a projectile on downward inclined plane depends upon |
| A. | Angle of projection |
| B. | Angle of inclination of the plane |
| C. | Both (A) and (B) |
| D. | None of these |
| Answer» D. None of these | |
| 369. |
In order to determine the effects of a force, acting on a body, we must know |
| A. | Magnitude of the force |
| B. | Line of action of the force |
| C. | Nature of the force i.e. whether the force is push or pull |
| D. | All of the above |
| Answer» E. | |
| 370. |
The process of finding out the resultant force is called __________ of forces. |
| A. | Composition |
| B. | Resolution |
| C. | Decomposition |
| D. | None of these |
| Answer» B. Resolution | |
| 371. |
The principle of transmissibility of forces states that, when a force acts upon a body, its effect is |
| A. | Same at every point on its line of action |
| B. | Different at different points on its line of action |
| C. | Minimum, if it acts at the center of gravity of the body |
| D. | Maximum, if it acts at the center of gravity of the body |
| Answer» D. Maximum, if it acts at the center of gravity of the body | |
| 372. |
In a framed structure, as shown in the below figure, the force in the member BC is |
| A. | W/√3 (compression) |
| B. | W/√3 (tension) |
| C. | 2W/√3 (compression) |
| D. | 2W/√3 (tension) |
| Answer» E. | |
| 373. |
Which of the following is a vector quantity? |
| A. | Energy |
| B. | Mass |
| C. | Momentum |
| D. | Angle |
| Answer» D. Angle | |
| 374. |
A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to |
| A. | 25 |
| B. | 50 |
| C. | 100 |
| D. | 250 |
| Answer» C. 100 | |
| 375. |
The coefficient of restitution for inelastic bodies is |
| A. | Zero |
| B. | One |
| C. | Between zero and one |
| D. | More than one |
| Answer» B. One | |
| 376. |
The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection. |
| A. | Less than |
| B. | More than |
| C. | Equal to |
| D. | None of These |
| Answer» C. Equal to | |
| 377. |
The centre of gravity of a uniform lamina lies at |
| A. | The centre of heavy portion |
| B. | The bottom surface |
| C. | The midpoint of its axis |
| D. | All of the above |
| Answer» D. All of the above | |
| 378. |
A particle inside a hollow sphere of radius r, having coefficient of friction µ can rest up to height of |
| A. | r/2 |
| B. | r/A |
| C. | r/3 |
| D. | 0.134 r |
| Answer» E. | |
| 379. |
The maximum velocity of a particle moving with simple harmonic motion is |
| A. | ω |
| B. | ωr |
| C. | ω2r |
| D. | ω/r |
| Answer» C. ω2r | |
| 380. |
A screw jack used for lifting the loads is |
| A. | A reversible machine |
| B. | A non-reversible machine |
| C. | An ideal machine |
| D. | None of these |
| Answer» C. An ideal machine | |
| 381. |
The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is |
| A. | D + d |
| B. | D - d |
| C. | D × d |
| D. | D / d |
| Answer» E. | |
| 382. |
A framed structure is perfect if it contains members equal to (Where, n = number of joints in a frame) |
| A. | 2n³ |
| B. | 2n |
| C. | n² |
| D. | 3n² |
| Answer» B. 2n | |
| 383. |
A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The center of gravity of the section will lie |
| A. | In the shaded area |
| B. | In the hole |
| C. | At ‘O’ |
| D. | None of these |
| Answer» B. In the hole | |
| 384. |
The velocity ratio of a differential wheel and axle with 'D' as the diameter of effort wheel and d1 and d2 as the diameters of larger and smaller axles respectively, is |
| A. | D/(d₁ + d₂) |
| B. | D/(d₁ - d₂) |
| C. | 2D/(d₁ + d₂) |
| D. | 2D/(d₁ - d₂) |
| Answer» E. | |
| 385. |
The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is |
| A. | mr²/2 |
| B. | mr²/4 |
| C. | mr²/6 |
| D. | mr²/8 |
| Answer» B. mr²/4 | |
| 386. |
Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.) |
| A. | v = u + a.t |
| B. | s = u.t + ½ a.t2 |
| C. | v2 = u2 + 2a.s |
| D. | All of these |
| Answer» E. | |
| 387. |
Which is the correct statement about law of polygon of forces? |
| A. | If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium |
| B. | If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium |
| C. | If a polygon representing forces acting at a point is closed then forces are in equilibrium |
| D. | If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium |
| Answer» E. | |
| 388. |
A machine having an efficiency less than 50%, is known as |
| A. | Reversible machine |
| B. | Non-reversible machine |
| C. | Neither reversible nor non-reversible machine |
| D. | Ideal machine |
| Answer» C. Neither reversible nor non-reversible machine | |
| 389. |
If the gravitational acceleration at any place is doubled, then the weight of a body will be |
| A. | g/2 |
| B. | g |
| C. | √2.g |
| D. | 2g |
| Answer» E. | |
| 390. |
A framed structure, as shown in the below figure, is a |
| A. | Perfect frame |
| B. | Deficient frame |
| C. | Redundant frame |
| D. | None of the above |
| Answer» B. Deficient frame | |
| 391. |
The rate of change of displacement of a body is called |
| A. | Velocity |
| B. | Acceleration |
| C. | Momentum |
| D. | None of these |
| Answer» B. Acceleration | |
| 392. |
The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius. |
| A. | 3r/ 8 |
| B. | 4r/ 3π |
| C. | 8r/3 |
| D. | 3r/4π |
| Answer» C. 8r/3 | |
| 393. |
A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» D. None of these | |
| 394. |
Which of the following is not the unit of power? |
| A. | kW (kilowatt) |
| B. | hp (horse power) |
| C. | kcal/sec |
| D. | kcal/kg sec |
| Answer» E. | |
| 395. |
Which of the following is not a vector quantity? |
| A. | Weight |
| B. | Velocity |
| C. | Acceleration |
| D. | Force |
| Answer» B. Velocity | |
| 396. |
Which of the following is not a scalar quantity? |
| A. | Mass |
| B. | Volume |
| C. | Density |
| D. | Acceleration |
| Answer» E. | |
| 397. |
Whenever a force acts on a body and the body undergoes a displacement, then |
| A. | Work is said to be done |
| B. | Power is being transmitted |
| C. | Body has kinetic energy of translation |
| D. | None of these |
| Answer» B. Power is being transmitted | |
| 398. |
In actual machines, mechanical advantage is _________ velocity ratio. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» C. Greater than | |
| 399. |
The force, by which the body is attracted, towards the center of the earth, is called |
| A. | Impulsive force |
| B. | Mass |
| C. | Weight |
| D. | Momentum |
| Answer» D. Momentum | |
| 400. |
In order to completely specify angular displacement by a vector, it must fix |
| A. | Direction of the axis of rotation |
| B. | Magnitude of angular displacement |
| C. | Sense of angular displacement |
| D. | All of these |
| Answer» E. | |